Floer trajectories and stabilizing divisors
Abstract
We incorporate pearly Floer trajectories into the transversality scheme for pseudoholomorphic maps introduced by Cieliebak-Mohnke. By choosing generic domain-dependent almost complex structures we obtain zero and one-dimensional moduli spaces with the structure of cell complexes with rational fundamental classes. This gives a definition of Floer cohomology over Novikov rings via stabilizing divisors for compact symplectic manifolds with rational symplectic classes and Lagrangians that are fixed point sets of anti-symplectic involutions satisfying certain Maslov index conditions, in particular, Hamiltonian Floer cohomology.
Cite
@article{arxiv.1401.0150,
title = {Floer trajectories and stabilizing divisors},
author = {François Charest and Chris Woodward},
journal= {arXiv preprint arXiv:1401.0150},
year = {2017}
}
Comments
Appeared in J. Fixed Point Theory. The forgetful part of the coherence axioms was corrected, according to a suggestion of G. Xu